Question

A golf ball is hit from a tee of negligible height from a point A with speed of 24.2m/s at an angle of elevation 30° above the horizontal. The golf ball travels from A and lands in a hole at point C on a grassy slope which is inclined at 45° to the horizontal. The point A is located5.5m from point B which is at the bottom of the slope. i. The vertical displacement of the golf ball, y, is related to the horizontal displacement of the golf ball, x, by the equation y = ax + bx², where a and b are constants to be found. x and y are measured in metres. Determine the values of a and b. The grassy slope may be modelled as a straight line with equation y = cx + d, where c and d are constants to be found. x and y are measured in metres. Determine the equation of the slope ii.Find the horizontal displacement of the golf ball from the instant it is launched at A to the point at which it lands on the slope at C.[10 Marks]

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